MATH 122
Test I

1. ò_p^2p[(sin(Öx))/( [Ö(3x)])]dx 2. ò_p^2p[(sin(x))/( x)]dx
3. ò₀¹(4-x²)cosx dx 4. ò₀¹[(x+1)/( x²-7x+10)]dx
5. ò₂³arcsec(x) dx 6. ò₂⁴[(x)/( [Ö(x²-4)])]dx
7. ò₀¹[(x³)/( [Ö(4-x²)])]dx 8. ò₁^¥[(dx)/( x²+2x+10)]

DIRECTIONS: You must show your work to get any credit for the problem. Any problem that can be solved using the Fundamental Theorem of Calculus must use the FTC. For those problem(s) that need a numerical technique, tell the technique you are using and estimate the error of your approximation using the error formula from class.

The solutions will be graded as full credit, half credit or no credit.

Choose one of the following plans.

THE SEVEN PROBLEM PLAN: Choose any seven problems that include all the improper integrals and all the problems that must use numerical techniques. Each problem is worth 14 points. Two free points. Cross out the problem that you are omitting.

THE EIGHT PROBLEM PLAN: Work all the problems. Each problem is worth 12 points. Four free points.

File translated from T_EX by T_TH, version 1.60.


1. ò_p^2p[(sin(Öx))/( [Ö(3x)])]dx	2. ò_p^2p[(sin(x))/( x)]dx
3. ò₀¹(4-x²)cosx dx	4. ò₀¹[(x+1)/( x²-7x+10)]dx
5. ò₂³arcsec(x) dx	6. ò₂⁴[(x)/( [Ö(x²-4)])]dx
7. ò₀¹[(x³)/( [Ö(4-x²)])]dx	8. ò₁^¥[(dx)/( x²+2x+10)]